Hi,

Let x represent the angle

Question states***

 (90°-x) = x - 78°

  168° = 2x

  84° = x

CHECKING our answer***(complement 6°)

 6° = 84° - 78°

Wish You the Best in your Studies.

 

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
 The complement of an angle measures 78 degrees less than the angle. How do I find the measure of the angle?

***

The measure of an angle plus its complement=90˚

It follows, then: measure of an angle=90˚minus its complement.

For given problem:

measure of an angle=90-78=12˚ 

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